Some lyrics - "Satan keeps saying that all your friends are gone, and your tears they fall like the rain. But Jesus will reach down and wipe the tears from your eyes. Just reach out and call on his name.
Cause he will carry you
I know he will carry you
Cause if he carried the weight of the world on his shoulders
Then I know he'll carry you

I hope some one recognizes this straightway
but if not
I found two versions; neither match your lyrics.
As you noted it was an old version I assume these are new ones
How old is the song you are looking for? When did you hear it?
Was it recorded or in a hymnal/songbook?
Any info you can provide will help.